Generalized Timoshenko modelling of composite beam structures: sensitivity analysis and optimal design

References

• Bauchau , O. A. 2008 . DYMORE-2 user's manual: a finite element based tool for the analysis of nonlinear flexible multibody systems [online] , Georgia Institute of Technology, Daniel Guggenheim School of Aerospace Engineering . Available from: http://www.ae.gatech.edu/people/obauchau/ [Acessed 14 January 2008]
   Google Scholar
• Berdichevsky , V. L. 1977 . Variational-asymptotic method of constructing a theory of shells . Prikladnaya Matematika i Mekhanika , 41 ( 4 ) : 664 – 687 .
   Google Scholar
• Bhaskar , K. and Librescu , L. 1995 . A geometrically non-linear theory for laminated anisotropic thin-walled beams . International Journal of Engineering Science , 33 ( 9 ) : 1331 – 1344 .
   Web of Science ®Google Scholar
• Boggs , P. T. and Tolles , J. W. 1996 . Sequential quadratic programming . Acta Numerica , 4 ( 1 ) : 1 – 50 .
   Google Scholar
• Cardoso , J. B. , Sousa , L. G. , Castro , J. A. and Valido , A. J. 2002 . Optimal design of laminated composite beam structures . Structural and Multidisciplinary Optimization , 24 ( 3 ) : 205 – 211 .
   Google Scholar
• Cerny , V. 1985 . Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm . Journal of Optimization Theory and Applications , 45 ( 1 ) : 41 – 52 .
   Web of Science ®Google Scholar
• Cesnik , C. and Hodges , D. 1997 . VABS: a new concept for composite rotor blade cross-sectional modeling . Journal of the American Helicopter Society , 42 ( 1 ) : 27 – 38 .
   Web of Science ®Google Scholar
• Davalos , J. F. and Qiao , P. 1999 . A computational approach for analysis and optimal design of FRP beams . Computers and Structures , 70 ( 1 ) : 169 – 183 .
   Google Scholar
• Den Hartog , J. P. 1952 . “ Twist–bend buckling of beams ” . In Advanced Strength of Materials , 283 – 291 . New York : McGraw-Hill .
   Google Scholar
• Gürdal , Z. and Haftka , R. T. 1993 . “ Optimization of composite laminates ” . In Proceeding of the Optimization of Large Structural Systems , Edited by: Rozvany , G. I.N. 623 – 648 . Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Hodges , D. H. and Yu , W. 2007 . A rigorous, engineer-friendly approach for modeling realistic, composite rotor blades . Wind Energy , 10 ( 2 ) : 179 – 193 .
   Web of Science ®Google Scholar
• Jones , R. M. 1975 . Mechanics of Composite Materials , New York : Hemisphere Publishing .
   Google Scholar
• van Laarhoven , P. J.M. and Aarts , E. 1987 . Simulated Annealing: Theory and Applications , D. Dordrecht : Reidel Publishing .
   Google Scholar
• Leal , A. 1992 . Elementos Mistos em Projecto Óptimo de Estruturas , Coimbra University . Thesis (PhD)
   Google Scholar
• Neto , M. A. 2005 . Optimization of Flexible Multibody Systems with Composite Materials , Coimbra University . Thesis (PhD)
   Google Scholar
• Neto , M. A. , Ambrósio , J. and Leal , R. P. 2004 . Flexible multibody systems models using composite materials components . Multibody Systems Dynamics , 12 ( 4 ) : 385 – 405 .
   Google Scholar
• Reddy , J. N. 1997 . Mechanics of Laminated Composite Plates: Theory and Analysis , Boca Raton, FL : CRC Press .
   Google Scholar
• Taylor , R. L. 2000 . FEAP—A Finite Element Analysis Program, Version 7.2 Example Manual , Department of Civil and Environmental Engineering, University of California at Berkeley .
   Google Scholar
• Valido , A. J. and Cardoso , B. 2003a . Geometrically nonlinear composite beam structures: design sensitivity analysis . Engineering Optimization , 35 ( 5 ) : 531 – 551 .
   Web of Science ®Google Scholar
• Valido , A. J. and Cardoso , B. 2003b . Geometrically nonlinear composite beam structures: optimal design . Engineering Optimization , 35 ( 5 ) : 553 – 560 .
   Web of Science ®Google Scholar
• Vanderplaats , G. N. 1992 . DOT-Design Optimization Tools, Version 3.0 , Colorado Springs, Colorado : VMA Engineering .
   Google Scholar
• Yu , W. 2005 . Mathematical construction of a Reissner–Mindlin plate theory for composite laminates . International Journal of Solids and Structures , 42 ( 26 ) : 6680 – 6699 .
   Web of Science ®Google Scholar
• Yu , W. and Hodges , D. H. 2002 . On Timoshenko-like modeling of initially curved and twisted composite beams . International Journal of Solids and Structures , 39 ( 19 ) : 5101 – 5121 .
   Google Scholar